Prime p₀= 743879024771742707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	743878521964418537	0 2 30 32 72 74 114 116 144 146	-502807324170
TPT(14)	743878558550836859	0 2 12 14 42 44 132 134 138 140 150 152 168 170	-466220905848
SPT(16)	743878737336244547	0 6 32 42 102 140 162 182 204 224 246 284 344 354 380 386	-287435498160
STPT(10)	743878818550849349	0 2 18 20 30 32 42 44 60 62	-206220893358
TPT(14)	743878880216321357	0 2 30 32 54 56 102 104 180 182 210 212 294 296	-144555421350
SPT(16)	743878920800584769	0 2 48 74 102 114 140 144 158 162 188 200 228 254 300 302	-103971157938
TPT(14)	743879192362749899	0 2 78 80 222 224 282 284 360 362 432 434 462 464	167591007192
SPT(16)	743879539598580499	0 4 52 60 72 108 114 130 132 148 154 190 202 210 258 262	514826837792
SPT(16)	743879954351950081	0 66 72 136 168 178 220 246 262 288 330 340 372 436 442 508	929580207374
STPT(12)	743880178457492831	0 2 18 20 30 32 96 98 108 110 126 128	1153685750124
SPT(16)	743880582504368041	0 6 46 52 66 82 90 160 228 298 306 322 336 342 382 388	1557732625334