Prime p₀= 2309242370523332117 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2309240345704715909	0 2 12 14 78 80 90 92 132 134 168 170 192 194	-2024818616208
STPT(10)	2309240731168395371	0 2 6 8 48 50 90 92 96 98	-1639354936746
SPT(16)	2309240744104369877	0 44 50 84 86 104 146 174 266 294 336 354 356 390 396 440	-1626418962240
SPT(16)	2309240881879194013	0 18 24 58 78 90 108 150 154 196 214 226 246 280 286 304	-1488644138104
STPT(10)	2309241087581828171	0 2 30 32 78 80 126 128 156 158	-1282941503946
SPT(16)	2309242334722055987	0 14 24 74 90 134 174 216 260 302 342 386 402 452 462 476	-35801276130
TPT(14)	2309242591009944617	0 2 30 32 84 86 102 104 210 212 234 236 294 296	220486612500
SPT(16)	2309243096498950151	0 18 56 86 158 176 206 228 260 282 312 330 402 432 470 488	725975618034
SPT(16)	2309243118720313697	0 32 60 80 84 102 150 164 180 194 242 260 264 284 312 344	748196981580
STPT(10)	2309243162553526817	0 2 90 92 102 104 114 116 204 206	792030194700
SPT(16)	2309243861715026393	0 6 14 24 44 98 108 126 128 146 156 210 230 240 248 254	1491191694276