Prime p₀= 1025561624370698291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: HenkM
db: batch=76, k=10, 2 28 2 28 2

TPT(14)	1025559750912227537	0 2 84 86 144 146 360 362 444 446 450 452 492 494	-1873458470754
STPT(10)	1025559775047342551	0 2 30 32 78 80 126 128 156 158	-1849323355740
SPT(16)	1025559894220889143	0 6 18 46 64 78 114 120 124 130 166 180 198 226 238 244	-1730149809148
SPT(16)	1025560238438952929	0 20 48 72 128 144 164 174 248 258 278 294 350 374 402 422	-1385931745362
STPT(10)	1025560582815149201	0 2 6 8 18 20 30 32 36 38	-1041555549090
STPT(10)	1025561477720272037	0 2 30 32 42 44 54 56 84 86	-146650426254
SPT(16)	1025561931794652097	0 30 40 42 72 76 96 102 124 130 150 154 184 186 196 226	307423953806
SPT(16)	1025562010860872777	0 32 50 56 62 74 116 162 164 210 252 264 270 276 294 326	386490174486
SPT(16)	1025562031624767943	0 34 36 120 150 154 250 264 316 330 426 430 460 544 546 580	407254069652
STPT(10)	1025562066662572331	0 2 6 8 48 50 90 92 96 98	442291874040
SPT(16)	1025562109347840223	0 34 48 78 126 136 148 178 186 216 228 238 286 316 330 364	484977141932