Prime p₀= 1238061791452727627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: sorcrosc
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1238060449663522781	0 2 6 8 18 20 30 32 36 38	-1341789204846
STPT(10)	1238060890485378077	0 2 24 26 42 44 60 62 84 86	-900967349550
STPT(10)	1238060940326822369	0 2 18 20 30 32 42 44 60 62	-851125905258
SPT(16)	1238061251335872571	0 40 60 70 82 102 126 130 192 196 220 240 252 262 282 322	-540116855056
SPT(16)	1238061270478267489	0 42 48 52 118 132 148 154 198 204 220 234 300 304 310 352	-520974460138
SPT(16)	1238061465840173791	0 6 46 66 76 102 108 130 168 190 196 222 232 252 292 298	-325612553836
STPT(10)	1238061813070298729	0 2 78 80 120 122 162 164 240 242	21617571102
SPT(16)	1238061905461726619	0 18 72 120 128 138 140 182 198 240 242 252 260 308 362 380	114008998992
SPT(16)	1238062049509444543	0 10 16 48 60 66 94 108 346 360 388 394 406 438 444 454	258056716916
SPT(16)	1238062572552951227	0 26 42 62 66 96 102 120 122 140 146 176 180 200 216 242	781100223600
TPT(14)	1238063057728880501	0 2 96 98 126 128 180 182 228 230 240 242 360 362	1266276152874