Prime p₀= 805071107774336657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Klouda
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	805069535685817019	0 18 24 38 74 90 102 128 144 170 182 198 234 248 254 272	-1572088519638
SPT(16)	805069537304298047	0 20 56 74 90 126 134 140 210 216 224 260 276 294 330 350	-1570470038610
SPT(16)	805069968787311581	0 30 98 120 126 156 168 186 410 428 440 470 476 498 566 596	-1138987025076
STPT(10)	805069974845436059	0 2 48 50 90 92 132 134 180 182	-1132928900598
STPT(10)	805070595257837717	0 2 54 56 72 74 90 92 144 146	-512516498940
SPT(16)	805070799515810579	0 24 44 104 134 164 170 180 248 258 264 294 324 384 404 428	-308258526078
STPT(10)	805071185744242421	0 2 96 98 168 170 240 242 336 338	77969905764
SPT(16)	805071207668941207	0 30 40 70 100 102 142 154 180 192 232 234 264 294 304 334	99894604550
STPT(10)	805071385257225587	0 2 12 14 72 74 132 134 144 146	277482888930
SPT(16)	805071875825463811	0 28 90 96 112 130 166 178 210 222 258 276 292 298 360 388	768051127154
TPT(14)	805071893359954109	0 2 30 32 42 44 138 140 168 170 180 182 240 242	785585617452