Prime p₀= 1949350715108354819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: MarkRBright
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	1949348907466115717	0 2 42 44 72 74 102 104 144 146	-1807642239102
SPT(16)	1949349586535958881	0 36 72 96 110 140 152 156 182 186 198 228 242 266 302 338	-1128572395938
STPT(10)	1949349623664893501	0 2 6 8 18 20 30 32 36 38	-1091443461318
SPT(16)	1949350048500985721	0 30 38 42 50 126 152 156 272 276 302 378 386 390 398 428	-666607369098
SPT(16)	1949350378849861021	0 40 46 48 90 102 108 130 138 160 166 178 220 222 228 268	-336258493798
SPT(16)	1949350569607204333	0 10 36 78 120 124 126 136 138 148 150 154 196 238 264 274	-145501150486
SPT(16)	1949350761776353631	0 2 36 48 50 66 86 92 126 132 152 168 170 182 216 218	46667998812
STPT(10)	1949350795917956747	0 2 30 32 42 44 54 56 84 86	80809601928
SPT(16)	1949351012559393857	0 72 84 110 126 144 170 212 234 276 302 320 336 362 374 446	297451039038
STPT(10)	1949351062312632047	0 2 24 26 42 44 60 62 84 86	347204277228
TPT(14)	1949351119199622959	0 2 18 20 42 44 60 62 132 134 162 164 228 230	404091268140