Prime p₀= 1231783426790500607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Theadalus
db: batch=77, k=10, 2 70 2 28 2

STPT(10)	1231782383909499941	0 2 30 32 78 80 126 128 156 158	-1042881000666
STPT(10)	1231782449066487599	0 2 78 80 180 182 282 284 360 362	-977724013008
SPT(16)	1231782620348506927	0 16 30 52 54 60 72 82 84 94 106 112 114 136 150 166	-806441993680
SPT(16)	1231782650172239303	0 26 50 54 68 206 230 246 248 264 288 426 440 444 468 494	-776618261304
SPT(16)	1231782715789183541	0 12 20 42 60 62 68 132 188 252 258 260 278 300 308 320	-711001317066
SPT(16)	1231783337943300949	0 4 42 78 88 130 132 148 174 190 192 234 244 280 318 322	-88847199658
STPT(10)	1231783831165425059	0 2 18 20 30 32 42 44 60 62	404374924452
STPT(10)	1231783897968727847	0 2 42 44 72 74 102 104 144 146	471178227240
SPT(18)	1231785303708517507	0 22 136 154 192 202 232 270 294 382 406 444 474 484 522 540 654 676	1876918016900
STPT(10)	1231785518778780521	0 2 6 8 48 50 90 92 96 98	2091988279914
SPT(18)	1231785622211669699	0 42 74 80 110 122 132 198 210 212 224 290 300 312 342 348 380 422	2195421169092