Prime p₀= 1238057704119585449 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 190 2 190 2 76 2 (?)
a_n: 0 2 78 80 270 272 462 464 540 542
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: 542
Found by: Theadalus
db: batch=77, k=10, 2 76 2 190 2

SPT(16)	1238056448387816483	0 6 18 38 66 90 98 110 144 156 164 188 216 236 248 254	-1255731768966
SPT(16)	1238057168223145709	0 14 18 48 84 98 108 110 138 140 150 164 200 230 234 248	-535896439740
SPT(16)	1238057367047501573	0 6 14 30 56 60 74 80 234 240 254 258 284 300 308 314	-337072083876
STPT(10)	1238057428547719259	0 2 18 20 30 32 42 44 60 62	-275571866190
SPT(16)	1238057677166705321	0 6 20 56 72 86 110 168 260 318 342 356 372 408 422 428	-26952880128
TPT(14)	1238057681098156019	0 2 12 14 138 140 180 182 192 194 252 254 258 260	-23021429430
SPT(16)	1238057822434323463	0 34 46 48 58 60 66 88 96 118 124 126 136 138 150 184	118314738014
STPT(10)	1238057951005969307	0 2 30 32 42 44 54 56 84 86	246886383858
SPT(16)	1238058064699108879	0 52 70 84 88 90 94 150 172 228 232 234 238 252 270 322	360579523430
SPT(16)	1238058360994689413	0 20 48 128 168 200 204 216 308 320 324 356 396 476 504 524	656875103964
STPT(10)	1238058713973765347	0 2 42 44 72 74 102 104 144 146	1009854179898