Prime p₀= 1237967243329878029 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: BlackGoose05
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1237966362574165937	0 12 26 30 56 116 126 150 356 380 390 450 476 480 494 506	-880755712092
SPT(16)	1237966589551226369	0 30 50 74 92 134 150 164 168 182 198 240 258 282 302 332	-653778651660
SPT(16)	1237966695894238777	0 22 34 36 70 112 120 126 250 256 264 306 340 342 354 376	-547435639252
TPT(14)	1237966970744283629	0 2 48 50 150 152 222 224 288 290 330 332 342 344	-272585594400
STPT(10)	1237967162797251581	0 2 30 32 60 62 90 92 120 122	-80532626448
STPT(10)	1237967207791092011	0 2 30 32 78 80 126 128 156 158	-35538786018
SPT(16)	1237967307331816877	0 30 54 62 72 132 194 216 260 282 344 404 414 422 446 476	64001938848
STPT(10)	1237967722174092731	0 2 6 8 48 50 90 92 96 98	478844214702
TPT(14)	1237967925842303429	0 2 12 14 132 134 168 170 180 182 228 230 300 302	682512425400
SPT(16)	1237968261304685941	0 18 106 112 136 172 186 202 246 262 276 312 336 342 430 448	1017974807912
STPT(10)	1237968310210855367	0 2 42 44 72 74 102 104 144 146	1066880977338