Prime p₀= 2812974664629373337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2812972911861180389	0 90 102 138 158 224 228 230 402 404 408 474 494 530 542 632	-1752768192948
STPT(10)	2812973107709269787	0 2 60 62 72 74 84 86 144 146	-1556920103550
SPT(18)	2812973408060749243	0 18 24 34 60 78 100 118 136 168 186 204 226 244 270 280 286 304	-1256568624094
SPT(16)	2812973592984859279	0 24 28 52 54 100 108 112 180 184 192 238 240 264 268 292	-1071644514058
SPT(16)	2812973788434919981	0 16 40 58 60 88 112 138 190 216 240 268 270 288 312 328	-876194453356
STPT(10)	2812973798673518561	0 2 6 8 48 50 90 92 96 98	-865955854776
STPT(10)	2812975070397074267	0 2 24 26 42 44 60 62 84 86	405767700930
STPT(10)	2812975134022471679	0 2 18 20 30 32 42 44 60 62	469393098342
STPT(10)	2812975822627860311	0 2 36 38 78 80 120 122 156 158	1157998486974
SPT(16)	2812976268390697511	0 6 18 56 86 138 180 182 186 188 230 282 312 350 362 368	1603761324174
SPT(16)	2812976341722740497	0 12 22 40 42 64 72 76 120 124 132 154 156 174 184 196	1677093367160