Prime p₀= 2797008353576767217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Groo
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2797006928219878877	0 2 24 26 42 44 60 62 84 86	-1425356888340
TPT(14)	2797007173368877199	0 2 12 14 108 110 150 152 210 212 252 254 300 302	-1180207890018
STPT(10)	2797007291095315847	0 2 90 92 132 134 174 176 264 266	-1062481451370
SPT(16)	2797007537020909601	0 2 6 20 36 78 86 90 98 102 110 152 168 182 186 188	-816555857616
SPT(16)	2797007605046472283	0 4 46 48 64 90 96 120 124 148 154 180 196 198 240 244	-748530294934
SPT(16)	2797007697929651881	0 12 16 42 70 72 108 156 232 280 316 318 346 372 376 388	-655647115336
STPT(10)	2797008508007297369	0 2 30 32 60 62 90 92 120 122	154430530152
TPT(14)	2797008521638059719	0 2 12 14 102 104 168 170 222 224 240 242 300 302	168061292502
SPT(16)	2797008609260535269	0 14 18 20 68 78 84 98 144 158 164 174 222 224 228 242	255683768052
STPT(10)	2797008740074815347	0 2 12 14 72 74 132 134 144 146	386498048130
SPT(16)	2797009084783379287	0 72 132 136 150 160 196 220 222 246 282 292 306 310 370 442	731206612070