Prime p₀= 2727127727390127167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 28 2 10 2

SPT(18)	2727126051142231279	0 10 30 34 58 78 94 132 154 198 220 258 274 294 318 322 342 352	-1676247895888
SPT(16)	2727126219339967979	0 18 42 44 62 108 144 158 174 188 224 270 288 290 314 332	-1508050159188
SPT(16)	2727126285069174127	0 10 34 40 76 90 126 144 166 184 220 234 270 276 300 310	-1442320953040
SPT(16)	2727126403625158861	0 22 46 78 106 112 118 162 166 210 216 222 250 282 306 328	-1323764968306
STPT(10)	2727126532529252039	0 2 42 44 90 92 138 140 180 182	-1194860875128
TPT(14)	2727127169715810527	0 2 24 26 72 74 120 122 204 206 222 224 252 254	-557674316640
SPT(16)	2727128001938759843	0 84 134 140 210 254 260 270 284 294 300 344 414 420 470 554	274548632676
SPT(16)	2727128245056929029	0 18 64 70 78 84 138 142 150 154 208 214 222 228 274 292	517666801862
SPT(16)	2727128544485559241	0 40 46 58 60 88 112 118 150 156 180 208 210 222 228 268	817095432074
SPT(16)	2727128936899019557	0 6 36 66 142 144 156 204 352 400 412 414 490 520 550 556	1209508892390
SPT(16)	2727129326206993847	0 12 44 80 96 104 140 144 152 156 192 200 216 252 284 296	1598816866680