Prime p₀= 1089298322612456027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: ginga
db: batch=76, k=10, 2 28 2 88 2

SPT(16)	1089297535148544739	0 132 138 150 160 180 184 240 262 318 322 342 352 364 370 502	-787463911288
TPT(14)	1089297666860139431	0 2 36 38 78 80 120 122 168 170 186 188 210 212	-655752316596
SPT(16)	1089297681234539573	0 26 30 96 98 114 128 140 144 156 170 186 188 254 258 284	-641377916454
SPT(16)	1089297772419455227	0 4 6 54 70 82 90 102 124 136 144 156 172 220 222 226	-550193000800
SPT(16)	1089297981534924517	0 4 12 42 46 76 96 124 132 160 180 210 214 244 252 256	-341077531510
TPT(14)	1089298188149137247	0 2 54 56 114 116 162 164 240 242 264 266 294 296	-134463318780
SPT(16)	1089298990806326051	0 26 38 42 48 50 92 96 332 336 378 380 386 390 402 428	668193870024
SPT(18)	1089299093662783733	0 20 36 44 98 104 174 198 218 246 266 290 360 366 420 428 444 464	771050327706
STPT(10)	1089299141813365079	0 2 42 44 60 62 78 80 120 122	819200909052
STPT(10)	1089299212127880539	0 2 30 32 60 62 90 92 120 122	889515424512
SPT(16)	1089299529384798551	0 8 36 56 66 78 120 138 140 158 200 212 222 242 270 278	1206772342524