Prime p₀= 1230588613991455289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1230588025764352811	0 48 90 92 140 150 212 246 392 426 488 498 546 548 590 638	-588227102478
SPT(16)	1230588027719855561	0 26 86 120 162 180 186 236 252 302 308 326 368 402 462 488	-586271599728
SPT(16)	1230588134459140357	0 40 42 54 84 132 154 172 252 270 292 340 370 382 384 424	-479532314932
STPT(10)	1230588257199390977	0 2 24 26 42 44 60 62 84 86	-356792064312
SPT(16)	1230588269846278771	0 28 46 52 72 136 178 208 240 270 312 376 396 402 420 448	-344145176518
SPT(16)	1230588359819120017	0 46 52 60 72 84 106 126 130 150 172 184 196 204 210 256	-254172335272
STPT(10)	1230588832705418489	0 2 78 80 120 122 162 164 240 242	218713963200
STPT(10)	1230589127693122781	0 2 78 80 108 110 138 140 216 218	513701667492
STPT(10)	1230589337196613481	0 2 6 8 48 50 90 92 96 98	723205158192
SPT(16)	1230590416532091491	0 18 32 42 60 92 108 122 126 140 156 188 206 216 230 248	1802540636202
STPT(10)	1230590504468577377	0 2 30 32 72 74 114 116 144 146	1890477122088