Prime p₀= 2700259123662840317 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: biodoc
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2700257626973127643	0 4 64 120 144 160 168 178 186 196 204 220 244 300 360 364	-1496689712674
STPT(10)	2700258237102850517	0 2 30 32 60 62 90 92 120 122	-886559989800
STPT(10)	2700258513491016617	0 2 12 14 42 44 72 74 84 86	-610171823700
SPT(16)	2700258739925027273	0 18 56 66 68 80 98 108 146 156 174 186 188 198 236 254	-383737813044
SPT(16)	2700258981644558293	0 16 64 108 136 154 180 196 348 364 390 408 436 480 528 544	-142018282024
SPT(16)	2700259057307550071	0 48 56 60 116 120 128 170 258 300 308 312 368 372 380 428	-66355290246
STPT(10)	2700259167013458857	0 2 42 44 72 74 102 104 144 146	43350618540
STPT(10)	2700259661074721531	0 2 30 32 60 62 90 92 120 122	537411881214
SPT(16)	2700259767514365083	0 20 24 26 54 74 104 110 144 150 180 200 228 230 234 254	643851524766
SPT(16)	2700260152249905103	0 6 40 96 126 160 228 234 280 286 354 388 418 474 508 514	1028587064786
STPT(10)	2700260318641908689	0 2 42 44 120 122 198 200 240 242	1194979068372