Prime p₀= 3091401985663733237 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: L@MiR
db: batch=83, k=10, 2 10 2 28 2

SPT(16)	3091401112878723259	0 4 28 58 60 72 114 150 172 208 250 262 264 294 318 322	-872785009978
SPT(16)	3091401292642889903	0 6 18 20 54 98 210 234 260 284 396 440 474 476 488 494	-693020843334
STPT(10)	3091401410557515569	0 2 48 50 90 92 132 134 180 182	-575106217668
TPT(14)	3091401592497275567	0 2 12 14 24 26 72 74 180 182 240 242 264 266	-393166457670
SPT(16)	3091401779404726421	0 8 72 110 152 200 260 266 282 288 348 396 438 476 540 548	-206259006816
STPT(10)	3091401975890096411	0 2 6 8 48 50 90 92 96 98	-9773636826
SPT(18)	3091402354032100637	0 6 50 62 90 96 162 170 182 294 306 314 380 386 414 426 470 476	368368367400
SPT(16)	3091402552600826953	0 4 10 48 58 60 114 118 126 130 184 186 196 234 240 244	566937093716
STPT(10)	3091402769809167587	0 2 54 56 72 74 90 92 144 146	784145434350
SPT(16)	3091403735620112161	0 16 18 78 100 118 126 148 168 190 198 216 238 298 300 316	1749956378924
STPT(10)	3091404772871321087	0 2 24 26 42 44 60 62 84 86	2787207587850