Prime p₀= 1119021734908598627 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: JonS
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1119020691275517617	0 2 30 32 72 74 114 116 144 146	-1043633081010
SPT(16)	1119020794783566443	0 14 68 80 90 104 114 158 390 434 444 458 468 480 534 548	-940125032184
STPT(10)	1119020860949770949	0 2 42 44 60 62 78 80 120 122	-873958827678
SPT(16)	1119021294988737551	0 20 38 80 102 120 126 140 168 182 188 206 228 270 288 308	-439919861076
SPT(16)	1119021577193506001	0 12 66 96 110 120 126 138 140 152 158 168 182 212 266 278	-157715092626
SPT(18)	1119021605129435459	0 8 12 30 50 90 114 128 134 138 144 158 182 222 242 260 264 272	-129779163168
STPT(10)	1119022306472883689	0 2 30 32 60 62 90 92 120 122	571564285062
TPT(14)	1119022311033834587	0 2 30 32 42 44 72 74 84 86 174 176 210 212	576125235960
STPT(10)	1119022437919289081	0 2 6 8 48 50 90 92 96 98	703010690454
STPT(10)	1119022516353592187	0 2 30 32 42 44 54 56 84 86	781444993560
SPT(16)	1119022517282835611	0 36 56 66 90 96 108 140 216 248 260 266 290 300 320 356	782374236984