Prime p₀= 2776198797714317147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2776197780413299351	0 28 46 96 102 132 148 208 330 390 406 436 442 492 510 538	-1017301017796
SPT(16)	2776197789580164893	0 6 26 38 74 86 108 116 138 146 168 180 216 228 248 254	-1008134152254
SPT(16)	2776197913325644153	0 40 90 100 118 168 190 196 210 216 238 288 306 316 366 406	-884388672994
STPT(10)	2776197955684318679	0 2 48 50 90 92 132 134 180 182	-842029998468
SPT(16)	2776198050113086213	0 10 46 84 88 94 174 180 214 220 300 306 310 348 384 394	-747601230934
SPT(16)	2776198465422267493	0 6 60 84 126 138 156 174 220 238 256 268 310 334 388 394	-332292049654
STPT(10)	2776198897155864329	0 2 78 80 120 122 162 164 240 242	99441547182
SPT(16)	2776198923655453669	0 52 72 90 112 130 132 192 220 280 282 300 322 340 360 412	125941136522
STPT(10)	2776199337965202971	0 2 6 8 48 50 90 92 96 98	540250885824
STPT(10)	2776199389921247921	0 2 36 38 78 80 120 122 156 158	592206930774
SPT(16)	2776199471621935057	0 52 70 76 90 102 130 132 154 156 184 196 210 216 234 286	673907617910