Prime p₀= 802123214402430629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: jozef j
db: batch=73, k=10, 2 16 2 40 2

SPT(16)	802122219806676061	0 18 30 42 72 130 142 150 178 186 198 256 286 298 310 328	-994595754568
STPT(10)	802122316339863941	0 2 36 38 78 80 120 122 156 158	-898062566688
STPT(10)	802122344142363059	0 2 12 14 30 32 48 50 60 62	-870260067570
SPT(16)	802122355092580111	0 52 76 90 108 118 150 160 168 178 210 220 238 252 276 328	-859309850518
SPT(16)	802122729665516659	0 24 30 52 70 78 82 144 148 210 214 222 240 262 268 292	-484736913970
STPT(10)	802122762710512421	0 2 6 8 48 50 90 92 96 98	-451691918208
TPT(14)	802123673493452117	0 2 54 56 84 86 132 134 192 194 210 212 294 296	459091021488
SPT(16)	802123825547244617	0 26 42 44 50 84 110 114 152 156 182 216 222 224 240 266	611144813988
TPT(14)	802124062222428467	0 2 42 44 90 92 144 146 174 176 210 212 240 242	847819997838
SPT(16)	802124100297711419	0 12 18 44 48 60 62 72 170 180 182 194 198 224 230 242	885895280790
SPT(16)	802124150852898701	0 20 48 72 98 128 170 218 282 330 372 402 428 452 480 500	936450468072