Prime p₀= 1261127297526730391 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [AF>Libristes] Elorak
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1261126683280832609	0 2 42 44 90 92 138 140 180 182	-614245897782
SPT(16)	1261126686285413261	0 26 68 72 86 96 116 152 186 222 242 252 266 270 312 338	-611241317130
SPT(16)	1261126704309100649	0 12 72 80 102 138 152 170 210 228 242 278 300 308 368 380	-593217629742
STPT(10)	1261126810230627869	0 2 12 14 90 92 168 170 180 182	-487296102522
SPT(16)	1261126878092658539	0 8 32 78 98 102 128 212 228 312 338 342 362 408 432 440	-419434071852
SPT(16)	1261127174113298137	0 24 34 66 142 154 162 174 262 274 282 294 370 402 412 436	-123413432254
STPT(10)	1261127312514907049	0 2 42 44 60 62 78 80 120 122	14988176658
TPT(14)	1261127486289353069	0 2 48 50 60 62 102 104 228 230 258 260 288 290	188762622678
STPT(10)	1261127764950500267	0 2 60 62 72 74 84 86 144 146	467423769876
STPT(10)	1261127949678430331	0 2 36 38 78 80 120 122 156 158	652151699940
SPT(16)	1261128288754594213	0 4 64 90 118 120 126 130 144 148 154 156 184 210 270 274	991227863822