Prime p₀= 2565693354356012987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2565691942876797149	0 2 18 20 30 32 42 44 60 62	-1411479215838
SPT(16)	2565692100306156083	0 30 78 86 96 126 204 276 278 350 428 458 468 476 524 554	-1254049856904
TPT(14)	2565692710644828857	0 2 42 44 54 56 180 182 240 242 252 254 294 296	-643711184130
SPT(16)	2565692746502761111	0 10 36 46 48 78 108 112 186 190 220 250 252 262 288 298	-607853251876
SPT(16)	2565693051136517347	0 70 82 96 100 106 126 166 180 220 240 246 250 264 276 346	-303219495640
STPT(10)	2565693210661485557	0 2 42 44 72 74 102 104 144 146	-143694527430
STPT(10)	2565693472686419531	0 2 30 32 78 80 126 128 156 158	118330406544
STPT(10)	2565694231372573757	0 2 30 32 42 44 54 56 84 86	877016560770
SPT(16)	2565694359199647211	0 6 28 30 40 76 78 82 156 160 162 198 208 210 232 238	1004843634224
SPT(16)	2565694590994358503	0 30 54 58 124 136 148 198 316 366 378 390 456 460 484 514	1236638345516
STPT(10)	2565694702585549277	0 2 12 14 42 44 72 74 84 86	1348229536290