Prime p₀= 2970728814758547299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Odd-Rod
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2970727060792362847	0 10 30 42 112 156 222 262 264 304 370 414 484 496 516 526	-1753966184452
STPT(10)	2970727339515401537	0 2 30 32 42 44 54 56 84 86	-1475243145762
SPT(16)	2970727547471574977	0 50 60 132 140 164 192 204 272 284 312 336 344 416 426 476	-1267286972322
SPT(16)	2970727738170274553	0 14 48 50 56 78 104 108 116 120 146 168 174 176 210 224	-1076588272746
SPT(16)	2970727950579979649	0 24 30 68 72 114 140 180 182 222 248 290 294 332 338 362	-864178567650
STPT(10)	2970728511597558377	0 2 30 32 42 44 54 56 84 86	-303160988922
STPT(10)	2970728914396683689	0 2 18 20 30 32 42 44 60 62	99638136390
SPT(16)	2970728940930216491	0 12 36 50 60 72 86 90 98 102 116 128 138 152 176 188	126171669192
STPT(10)	2970729009874364327	0 2 30 32 42 44 54 56 84 86	195115817028
SPT(16)	2970729433873751453	0 24 26 36 56 60 68 80 114 126 134 138 158 168 170 194	619115204154
SPT(16)	2970729560531022877	0 10 30 82 114 124 156 184 192 220 252 262 294 346 366 376	745772475578