Prime p₀= 1537495044934134227 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: crashtech
db: batch=78, k=10, 2 28 2 10 2

SPT(20)	1537493860743041053	0 28 40 48 58 76 90 124 160 186 238 264 300 334 348 366 376 384 396 424	-1184191093174
STPT(10)	1537493958548863067	0 2 30 32 42 44 54 56 84 86	-1086385271160
SPT(16)	1537494032450242157	0 26 32 42 92 110 120 126 146 152 162 180 230 240 246 272	-1012483892070
TPT(14)	1537494318333987239	0 2 30 32 48 50 72 74 78 80 198 200 210 212	-726600146988
TPT(14)	1537494504697774919	0 2 60 62 282 284 372 374 420 422 492 494 552 554	-540236359308
STPT(10)	1537494923009688821	0 2 6 8 48 50 90 92 96 98	-121924445406
STPT(10)	1537495266302426867	0 2 42 44 72 74 102 104 144 146	221368292640
SPT(16)	1537495786684989017	0 42 50 104 116 122 150 152 174 176 204 210 222 276 284 326	741750854790
SPT(16)	1537495858153395641	0 8 20 36 56 62 86 96 212 222 246 252 272 288 300 308	813219261414
SPT(16)	1537495960044917833	0 58 78 160 168 178 184 190 198 204 210 220 228 310 330 388	915110783606
SPT(16)	1537495976527094929	0 42 48 52 60 88 90 94 228 232 234 262 270 274 280 322	931592960702