Prime p₀= 1298021311785723911 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: damotbe
db: batch=77, k=10, 2 124 2 10 2

STPT(10)	1298020745952650969	0 2 18 20 30 32 42 44 60 62	-565833072942
SPT(16)	1298020901915903419	0 34 90 100 112 118 154 210 232 288 324 330 342 352 408 442	-409869820492
STPT(10)	1298021026712598647	0 2 30 32 42 44 54 56 84 86	-285073125264
STPT(10)	1298021053768530071	0 2 30 32 78 80 126 128 156 158	-258017193840
SPT(16)	1298021075617789297	0 34 42 46 64 76 90 120 136 166 180 192 210 214 222 256	-236167934614
SPT(16)	1298021266511812093	0 28 30 118 168 184 220 226 228 234 270 286 336 424 426 454	-45273911818
STPT(10)	1298021962669148411	0 2 30 32 60 62 90 92 120 122	650883424500
TPT(14)	1298022015189593717	0 2 60 62 72 74 84 86 114 116 204 206 240 242	703403869806
SPT(16)	1298022399318656881	0 16 22 36 46 60 78 90 268 280 298 312 322 336 342 358	1087532932970
STPT(10)	1298022422880025991	0 2 36 38 78 80 120 122 156 158	1111094302080
STPT(10)	1298022569337334661	0 2 6 8 18 20 30 32 36 38	1257551610750